2015/06/01 by Stefan Teufel, Roderich Tumulka · 1 citation
Physics and Astronomy · Mathematics · #quant-ph #math-ph #math.MP
paper · pdf · doi:10.1007/978-3-319-26902-3_14
published as Pages 293-311 in Felix Finster, Johannes Kleiner, Christian Röken, and Jürgen Tolksdorf (editors), Quantum Mathematical Physics - A Bridge between Mathematics and Physics. Basel: Birkhäuser (2016) · 18 pages LaTeX, 2 figures; presentation given at the conference "Quantum Mathematical Physics" in Regensburg (Germany), Sept. 29-Oct. 2, 2014 (http://www.uni-regensburg.de/Fakultaeten/nat_Fak_I/qft2014/index.html)
arxiv created 2015/06/01 · arxiv updated 2016/06/07
We describe here a novel way of defining Hamiltonians for quantum field theories (QFTs), based on the particle-position representation of the state vector and involving a condition on the state vector that we call an "interior-boundary condition." At least for some QFTs (and, we hope, for many), this approach leads to a well-defined, self-adjoint Hamiltonian without the need for an ultraviolet cut-off or renormalization.